4 citations · 9 across the 5 of their papers we have counts for
6 papers
Almost automorphic subshifts with finiteness conditions for the boundary of the separating cover
Daniel Sell, Franziska Sieron
In this article we study orbits of proximal pairs in almost automorphic subshifts. The corresponding orbits in the maximal equicontinuous factor are precisely those orbits that int…
Invariant measures for -free systems revisited
Aurelia Dymek, Joanna Kułaga-Przymus, Daniel Sell
For , the -free subshift is the orbit closure of the characteristic function of the set of -free integers.…
On the Garden of Eden theorem for B-free subshifts
Gerhard Keller, Mariusz Lemanczyk, Christoph Richard +1
We prove that on B-free subshifts, with B satisfying the Erdös condition, all cellular automata are determined by monotone sliding block codes. In particular, this implies the vali…
Simple Toeplitz subshifts: combinatorial properties and uniformity of cocycles
Daniel Sell
We investigate combinatorial properties of aperiodic simple Toeplitz subshifts, as well as spectral properties of Jacobi operators defined by them. More precisely, we derive explic…
Subshifts with leading sequences, uniformity of cocycles and spectra of Schreier graphs
Rostislav Grigorchuk, Daniel Lenz, Tatiana Nagnibeda +1
We introduce a class of subshifts governed by finitely many two-sided infinite words. We call these words leading sequences. We show that any locally constant cocycle over such a s…
Combinatorics of One-Dimensional Simple Toeplitz Subshifts
Daniel Sell
This paper provides a systematic study of fundamental combinatorial properties of one-dimensional, two-sided infinite simple Toeplitz subshifts. Explicit formulas for the complexit…